{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "from matplotlib import pyplot as plt\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import warnings\n",
    "from time import time\n",
    "import copy \n",
    "import matplotlib.dates as mdates\n",
    "\n",
    "warnings.filterwarnings('ignore')\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'C:\\\\Users\\\\kompn\\\\YandexDisk\\\\papers\\\\ARIMA\\\\tex\\\\python scripts'"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def save(name='', fmt='png'):\n",
    "    pwd = os.getcwd()\n",
    "    iPath = pwd + '\\\\pictures'\n",
    "    if not os.path.exists(iPath):\n",
    "        os.mkdir(iPath)\n",
    "    os.chdir(iPath)\n",
    "    plt.savefig('{}.{}'.format(name, fmt), fmt='png', dpi=150, bbox_inches='tight')\n",
    "    os.chdir(pwd)\n",
    "os.getcwd()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.rcParams['figure.figsize'] = 8,5\n",
    "# plt.ylabel('Автокорреляционная \\n функция',fontsize=12)\n",
    "# plt.xlabel('Номер лага',fontsize=12)\n",
    "# plt.title(' ')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "x=list(np.arange(-2,2,0.01))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "def diff_huber(x,delta):\n",
    "    answer = np.array([])\n",
    "    for i in x:\n",
    "        if np.abs(i) < delta:\n",
    "            answer = np.append(answer,i)\n",
    "        else:\n",
    "            answer = np.append(answer,delta*np.sign(i) - 1/2*delta**2)\n",
    "    return answer\n",
    "        "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [],
   "source": [
    "nnn={1:'MSE',2:'MAE',3:'log-cosh',4:'Huber, $ \\delta=1 $',5:'Huber, $ \\delta=0.1 $',6:'Huber, $ \\delta=10 $'}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 648x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(9, 8))\n",
    "# plt.subplots_adjust(wspace=0, hspace=0.4)\n",
    "plt.subplot(211)\n",
    "\n",
    "plt.plot(x,np.tanh(x),'o',ms=1,label=nnn[3])\n",
    "plt.plot(x,np.sign(x),'o',ms=1,label=nnn[2])\n",
    "plt.plot(x,x,'o',ms=1,label=nnn[1])\n",
    "plt.legend()\n",
    "\n",
    "plt.ylabel('Значение производной',fontsize=12)\n",
    "plt.xlabel('Значение аргумента',fontsize=12)\n",
    "plt.ylim(-2,2)\n",
    "\n",
    "plt.grid()\n",
    "# plt.arrow(-5,0,10,0)\n",
    "# plt.arrow(0,-5,0,10)\n",
    "\n",
    "\n",
    "ax = plt.subplot(212)\n",
    "\n",
    "plt.plot(x,diff_huber(x,0.1),'o',ms=1,label=nnn[4])\n",
    "plt.plot(x,diff_huber(x,1),'o',ms=1,label=nnn[5])\n",
    "plt.plot(x,diff_huber(x,0.5),'o',ms=1,label=nnn[6])\n",
    "plt.grid()\n",
    "plt.ylim(-2,2)\n",
    "plt.legend()\n",
    "\n",
    "plt.ylabel('Значение производной',fontsize=12)\n",
    "plt.xlabel('Значение аргумента',fontsize=12)\n",
    "save('loss')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "plt.figure()\n",
    "\n",
    "plt.grid()\n",
    "\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
